The logical [AND](AND) numerical operator compares two values in respect of their bits. If both bits at a certain position in both values are set, then that bit position is set in the result. ## Syntax > result = firstvalue AND secondvalue ## Description * [AND](AND) compares the bits of the firstvalue against the bits of the secondvalue, the result is stored in the result variable. * If both bits are on (1) then the result is on (1). * All other conditions return 0 (bit is off). * AND is often used to see if a bit is on by comparing a value to an exponent of 2. * Can turn off a bit by subtracting the bit on value from 255 and using that value to AND a byte value. The results of the bitwise logical operations, where *A* and *B* are operands, and *T* and *F* indicate that a bit is set or not set: | A | B | | [NOT](NOT) B | A [AND](AND) B | A [OR](OR) B | A [XOR](XOR) B | A [EQV](EQV) B | A [IMP](IMP) B | | - | - | - | - | - | - | - | - | - | | T | T | | F | T | T | F | T | T | | T | F | | T | F | T | T | F | F | | F | T | | F | F | T | T | F | T | | F | F | | T | F | F | F | T | T | **[Relational Operations](Relational-Operations) return negative one (-1, all bits set) and zero (0, no bits set) for *true* and *false*, respectively.** This allows relational tests to be inverted and combined using the bitwise logical operations. ## Example(s) *Example 1:* ```text 101 AND 011 ----- 001 ``` > The 101 bit pattern equals 5 and the 011 bit pattern equals 3, it returns the bit pattern 001 which equals 1. Only the Least Significant Bits (LSB) match. So decimal values 5 AND 3 = 1. *Example 2:* ```text 11111011 AND 11101111 ---------- 11101011 ``` > Both bits have to be set for the resulting bit to be set. You can use the [AND](AND) operator to get one byte of a two byte integer this way: > firstbyte = twobyteint AND 255 > Since 255 is 11111111 in binary, it will represent the first byte completely when compared with AND. > To find the second (HI) byte's decimal value of two byte [INTEGER](INTEGER)s use: secondbyte = twobyteint \ 256 Finding the binary bits on in an [INTEGER](INTEGER) value. ```vb DO INPUT "Enter Integer value from -32768 to 32767 (Enter quits): ", INTvalue& IF INTvalue& < -32768 OR INTvalue& > 32767 OR INTval& = 0 THEN EXIT DO FOR exponent = 15 TO 0 STEP -1 IF (INTvalue& AND 2 ^ exponent) THEN PRINT "1"; ELSE PRINT "0"; NEXT PRINT " " LOOP UNTIL INTvalue& = 0 'zero entry quits ``` > Example output for 6055. ```text 0001011110100111 ``` > *Note:* The value of 32767 sets 15 bits. -1 sets all 16 bits. Negative values will all have the highest bit set. Use [LONG](LONG) variables for input values to prevent overflow errors. ## See Also * [OR](OR), [XOR](XOR), [NOT](NOT) (logical operators) * [AND (boolean)](AND-(boolean)) * [Binary](Binary), [Boolean](Boolean)