8080 8085 Assembly Language Programming by Intel Corporation

By Intel Corporation

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If either x or y is off, or both are off, then F = 0. Translating this into a logic expression, we get F = x AND y Hence, two switches connected in series give rise to the logical AND operator. 5) the AND operator is either denoted with a dot ( • ) or no symbol at all. Thus we can rewrite the above expression as F=x•y or simply 33 Digital Logic and Microprocessor Design with VHDL Chapter 2 - Digital Circuits F = xy If we connect two switches in parallel as in (b), then only one switch needs to be on in order for the output F to be a 1.

0•0=0 1•1=1 0•1=1•0=0 0' = 1 1b. 2b. 3b. 4b. 1+1=1 0+0=0 1+0=0+1=1 1' = 0 5b. 6b. 7b. x+1=1 x+0=0+x=x x+x=x 9b. x + x' = 1 (a) 5a. 6a. 7a. 8a. 9a. x•0=0 x•1=1•x=x x•x=x (x' )' = x x • x' = 0 Null element Identity Idempotent Double complement Inverse (b) 10a. 11a. 12a. 13a. 14a. 15a. x•y=y•x (x • y) • z = x • (y • z) x • (y + z) = (x • y) + (x • z) x • (x + y) = x (x • y) + (x • y' ) = x (x • y)' = x' + y' 10b. 11b. 12b. 13b. 14b. 15b. 6 Boolean algebra axioms and theorems: (a) Axioms; (b) Single variable theorems; (c) two and three variable theorems.

2. When the switch is opened as in (a), it is turned off and nothing gets through from the input to the output. When the switch is closed as in (b), it is turned on, and whatever is presented at the input is allowed to pass through to the output. 2 Binary switch: (a) opened or off; (b) closed or on. Uses of the binary switch idea can be found in many real world devices. 3. 3 A siren controlled by a switch. When the switch is closed, the siren turns on. ” Therefore, when the switch is closed, the output is a 1 and the siren will turn on.

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