Foundations of formal logic by Henry Bradford Smith

By Henry Bradford Smith

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All values are signed M* M* ( n1 n2 --- d ) Multiplies two 16-bit numbers and gives a 32-bit number result b ) d1 d2 --- b ( d --- ) d n --- d Compares two 32-bit numbers. Returns true if d1D S->D ( n --- d ) Converts a l6-bit number to a 32bit number U. U. Displays a single-length unsigned number U* U* ( ul u2 --- ud ) Multiplies two unsigned singlelength numbers and returns a signed double-length number U/MOD U/MOD ( ud ul --u2 u3 ) Divides an unsigned 32-bit number by an unsigned l6-bit number.

PLAY CR BEGIN 32 WORD HERE 1+ C@ WHILE HERE COUNT TYPE CR REPEAT OK PLAY AT HOME AT HOME OK (Transfers word to end of dictionary) (Value of first character) (Test for end) (Prepares parameters for TYPE) (Prints word) The interpreter detects and executes the words in the input stream in succession. Detection is by means of the separator - here a space. The word that we have just defined examines the remainder in the input stream on execution, carries out the same detection task as the interpreter and displays each separate word found on a new line on the screen.

FORTH has the following words to help here. M+ MI U/MOD M* U* M*I ( ( ( ( ( ( d n --- d-sum ) d n --- n-quotient ) (integer division ud u --- u-remainder u-quotient n1 n2 d-product ) u1 u2 ud-product ) d n u d-result ) In the same way that +1 used a double-length intermediate result, uses a triple-length intermediate result. Try to familiarise yourself with these different words by using them on examples of your own choosing. 5 Fixed Point Versus Floating Point As you will have no doubt noticed, up until now we have only introduced arithmetic words working on integers.

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