Service manual

STP 11-25R13-SM-TG
Q - 19
(3) Applying this method, the conversion of binary number 10110101111110001101
2
to a
hexadecimal looks like this:
1011 0101 1111 1000 1101 Binary
11 5 15 8 13 Decimal
8 5 F 8 D Hexadecimal
(4) We went from binary to decimal, then to hexadecimal. This was done to better acquaint you
with the decimal equivalent of the hexadecimal letters. Now that you have seen this, you should be able
to convert directly from binary to hexadecimal. Conversion of the binary number 11010110011 is as
follows:
0110
/
6
1011
/
B
0011
/
3
Thus, 1101011001
12
equals 6B3
16
(5) To convert a hexadecimal number to a decimal number, use the basic approach developed
earlier. First, find the place value of each symbol in the hexadecimal number, then find the decimal
equivalent. Conversion of the hexadecimal number 3A7 is illustrated next.
Power of 16
Decimal Equivalent Hexadecimal Number
16
2
256 3 256 x 3 = 768
16
1
16 A 16 x A = 160
16
0
1 7 1 x 7 = 7
935
10
(6) To convert a decimal number to hexadecimal, we will divide 346
10
by the base of 16.
Remainder
16 346
16 21 A
16 1 5
0 1
Therefore, 346
10
is equal to 15A
16
.
Q-7. Basic Gates.
a. Introduction
. Almost all complex digital circuitry can be derived from three basic gating
functions, the AND, OR, and NOT. If you have a firm understanding of these three functions, you will be
well on your way to understanding the more complex digital processes. So taking them in the above
order, apply the three troubleshooting tools (Boolean algebra, truth tables, and waveforms) to each one to
derive other gates from the three basic gating functions.