Question

Problems 1) Write the following numbers in Base10, Base2, and Hex. (For example: 25, 011001b, 19h; assume 2's complement for binary) a) 35 b) 7Eh c) 0111010b d) -23 e 100011b 2) Choose a pair of your favorite numbers such that the product of the number is less than 16, and write them out to 5 bits precision a) Multiply the numbers in binary. b) For the same numbers as in a), multiply the negative of the numbers together using 2's complement notation. Hint, as the result must be limited to 5 bits ignore any bits that are higher than this.] 3)Create a XNOR gate using only NAND gates in a circuit 4) Create a CMOS circuit that performs the XNOR, and since there are multiple correct answers please clearly describe how your circuit works. [Hint, while the result of problem 3 can be used, there are other combinations that work with fewer transistors.]

Can someone do question 1, 2, 3 and 4, please?

Answer 1

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y sp SPk Base 1o as e Id Base 2 ex 6 35 16 2-3 35 2 3 1 26 oll io 2/2 0011010 ЗА OI1 1110 一23 ILOIOo I 35 Oi ooDl 2.3 OOILIOIO 2123 2 215 I Tf asstume 1 O001 Ot 2-1 11101000 the leftmost bit α, MSB Bim Then E3 00D11 C2) Add 111 000 10-, Add ' IlooO I 1

Lets choose 3 and 5 In 5 bits precesion 00101 oooI 1 OO O o o 11101 IIOI 1 10 1101 1 1 10 1

D Ma'la Bac the the .Ba fe AB A B A B 8

MOSFET Type Logic Circuit Symbol A 0 Approximation A 1 Approximation rain NMOS Sourte Soure Souree PMOS ran rain Table 1: MOSFET logic circuit symbols and approximations

Taken from: https://courses.engr.illinois.edu/ece110/fa2017/content/courseNotes/files/?logicAndCMOS

The basic gates using CMOS are:

Vi Vat ½ out Vout NAND gate NOR gate -

I have already given the circuit for XNOR using gates before. Just replace each of the gates by these appropriate CMOS circuits and you will have a XNOR gate.