By Roger Tokheim
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Additional resources for Schaum's Outline of Digital Principles
On the right side of the inverter, the overbar is added to the Boolean expression. The Boolean expression for the entire circuit is A . B = Y. It is said that this is a not-AND or NAND circuit. Fig. 4-1 The NAND gate The standard logic symbol for the NAND gate is shown in the bottom diagram in Fig. 4-1. Note that the NAND symbol is an AND symbol with a small bubble at the output. The bubble is sometimes called an invert bubble. The invert bubble provides a simplified method of representing the NOT gate shown in the top diagram in Fig.
2-7c. The XS3 code has significant value in arithmetic circuits. The value of the code lies in its ease of complementing. If each bit is complemented (OS to 1s and 1s to OS), the resulting 4-bit word will be the 9s complement of the number. Adders can use 9s complement numbers to perform subtraction. The Gray code is another nonweighted binary code. The Gray code is not a BCD-type code. Figure 2-8 compares the Gray code with equivalent binary and decimal numbers. Look carefully at the Gray code.
4-17 Pulse-train problem Solution: The output pulses from the XNOR gate shown in Fig. 4-1’7 will be as follows: pulse c = 0 pulse e = 0 pulse g = 0 pulse a = 0 pulse f = 1 pulse b = 1 pulse d = 1 4-6 CONVERTING GATES WHEN USING INVERTERS When using logic gates, the need will arise to convert to another logic function. An easy method of converting is to use inverters placed at the outputs or inputs of gates. It has been shown that an inverter connected at the output of an AND gate produces the NAND function.
Schaum's Outline of Digital Principles by Roger Tokheim